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Question

A ring of mass m and radius 'r' is mounted on a light rod which is suspended by means of two string. Find the tension in the strings if the ring carries a current i and a vertical magnetic field β exists. Given
(ia2Bl=mg2π).

A
mg2,mg2
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B
O,mg
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C
mg3,2mg3
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D
3mg4,mg4
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Solution

The correct option is D 3mg4,mg4

ia2 Bl=mg2π
Fy=0
T1+T2mg=0T1+T2=mg
τ0=0
T1lT2lMB sin 90=0
T1T2=iπa2Bl
T1T2=mg2π×π
2T1=3mg2
T1=3mg4,T2=mg4

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